Answer:
6
Step-by-step explanation:
total no. of seats = 22 x 4 = 88
total no. of seats occupied = 19 * 4 + (22-19)*4/2 = 76 + 6 = 82
no. of empty seats = 88 -82 = 6
Answer:
Simplify−412+16t+48.h=16t−1633
Step-by-step explanation:
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define scalene triangle
A Scalene Triangle is any triangle with unequal sides. This means that, in a scalene triangle, all of the three sides and angles are different lengths, just like in the illustration below. This also means that each angle has to be different.
STEP 2: Get the greatest sum possible of the two smallest angles
Since the measures of the angles of the triangle are different whole numbers , for the sum of the two angles to be the least possible, one of the angles must be smallest whole number i.e 1°
Now, the next smallest angle will be the next angle of a whole number that is not 1 degree, i.e, 2 degrees.
Thus, the greatest possible sum of the measures of two smallest angles will be:

Hence, the greatest sum possible of the two smallest angles is 3 degrees
You will factor out the common factor of t if you are solving for t. you will then divide both sides by (s+3) to make t the subject of the formula. for this question you can only get t in terms of s.
so:
st+3t=6
t(s+3)/(s+3)=6/(s+3)
t=6/(s+3)
if you are required to solve for s then you are going to subtract 3t from both sides. you can factorise 6-3t .you will then divide both sides by t to isolate s.for this question you can only get s in terms of t.so:
st+3t-3t=6-3t
st/t=2(3-t)/t
s=2(3-t)/t
Answer:
a) 0.145
b) 0.013
c) 0.783
d) 0.586
Step-by-step explanation:
a) there are always 52 cards in total, 13 hearts
Pa = 39/52 × 38/51 × 13/50 = 19266/132600 = 257/1700 =0.145
b) there are always 13 diamonds in a complete card
Pb = 13/52 × 12/51× 11/50 = 11/850 = 0.013
c) there are always 4 aces, and 48 that are not aces
Pc = 48/52 × 47/51 × 46/50 = 4324/5525 = 0.783
d) there are 13 hearts,to get at least one heart we have.
Pd = 1 - p
Where p is the probability of no hearts
p = 39/52 × 38/51 × 37/50 = 703/1700 = 0.414
Pd = 1 - 0.414
Pd = 0.586